\documentclass[11pt]{article}

\usepackage{times}
\usepackage{algorithm}
\usepackage{url, color, epsfig, amsmath, amsthm, amssymb}
%
%subfigure,


\setlength{\textwidth}{6.3in}
\setlength{\evensidemargin}{0.0in}
\setlength{\oddsidemargin}{0.0in}
\setlength{\textheight}{9.5in}
\setlength{\topmargin}{-0.55in}

%\input mac
\setlength{\parindent}{0mm}
\setlength{\parskip}{2mm}

\def\F{\ensuremath{\mathcal{F}}}
\def\H{\ensuremath{\mathcal{H}}}
\def\R{\ensuremath{\mathcal{R}}}
\def\C{\ensuremath{\mathcal{C}}}
\def\eps{\ensuremath{\epsilon}}


\def\conv{\ensuremath{conv}}


\newcommand{\remove}[1]{}

\def\polylog{{\mathop{\mathrm{polylog}}\nolimits}}

\newtheorem{corollary}{Corollary}[section]
\newtheorem{conjecture}{Conjecture}[section]
\newtheorem{observation}{Observation}[section]
\newtheorem{defi}{Definition}
\newtheorem{case}{Case}
\newtheorem{speculation}{Speculation}



%\renewcommand{\Re}{{\rm I\!\hspace{-0.025em} R}}
\renewcommand{\Re}{\mathbb{R}}
\newcommand{\inprod}[2]{\left\langle #1 , #2 \right\rangle}


% proof
\newsavebox{\smallProofsym}                            % smallproofsymbol
\savebox{\smallProofsym}                               %
{%                                                     %
\begin{picture}(6,6)                                   %
\put(0,0){\framebox(6,6){}}                            %
\put(0,2){\framebox(4,4){}}                            %
\end{picture}                                          %
}   
%opening
\title{Note 20}
\author{N. Mustafa, S. Ray, M. Shabbir, and W. Steiger}

\begin{document}

\maketitle

\begin{abstract}
\listofalgorithms
Give a set $P$ of points in plane, RS Depth of a query point $q$ is defined as the number of 

\end{abstract}

\section{Introduction}
\subsection{Algorithm to find RS-Depth of $m$ Points}

Given two sets $P$ and $Q$ in plane, such that $|P| = n|, |Q| = |m|$, we give following algorithm to compute RS Depth,  $\eta(P, qi), \forall q_i \in Q$. For sake of our discussion in this section, we abuse following notations:$(a, b)$ to mean a line passing through, and $[a, b]$ to mean a line segment through points $a, b$ and $[a, b)$ to mean a half infinite ray starting at $a$ and passing through $b$.




\end{document}
